A multigrid upwind strategy for accelerating steady‐state computations of waves propagating with curvature‐dependent speeds

DOI10.1002/NUM.1002zbMath0996.65100OpenAlexW2139387044MaRDI QIDQ4537636

Garry H. Rodrigue, Jonathan Rochez

Publication date: 1 July 2002

Published in: Numerical Methods for Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://www.osti.gov/biblio/8780

zbMATH Keywords

convergencechemical reactioniterative methodssemidiscretizationeikonal equationsmoothing operatormultigrid strategyupwind finite differencinghigh explosive materialreactive flow equationsRunge-Kutta time iteration

Mathematics Subject Classification ID

Stability and convergence of numerical methods for initial value and initial-boundary value problems involving PDEs (65M12) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Chemically reacting flows (80A32) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Multigrid methods; domain decomposition for initial value and initial-boundary value problems involving PDEs (65M55) Initial value problems for first-order hyperbolic systems (35L45)

Cites Work

• Unnamed Item
• Convergence to steady state of solutions of Burgers' equation
• Fronts propagating with curvature-dependent speed: Algorithms based on Hamilton-Jacobi formulations
• Level set methods applied to modeling detonation shock dynamics
• Weakly Nonlinear Detonation Waves
• Modeling two-dimensional detonations with detonation shock dynamics
• Two-Grid Solution of Shock Problems

This page was built for publication: A multigrid upwind strategy for accelerating steady‐state computations of waves propagating with curvature‐dependent speeds